Fourier coefficients of noncongruence cuspforms

Details Fourier coefficients of noncongruence cuspforms Fourier coefficients of noncongruence cuspforms

2010-12-14

arxiv.org/abs/1012.3062v1

Mathematics

Number Theory

Scientific paper

Given a finite index subgroup of $SL_2(\mathbb Z)$ with modular curve defined
over $\mathbb Q$, under the assumption that the space of weight $k$ ($ \ge 2$)
cusp forms is $1$-dimensional, we show that a form in this space with Fourier
coefficients in $\mathbb Q$ has bounded denominators if and only if it is a
congruence modular form.

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